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Finding the Fourth Proportional to 1,160.73, 1,601.80 and 682.09

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Solution

The fourth proportional to 1,160.73, 1,601.80 and 682.09 is: 941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.73 : 1,601.80 = 682.09 : x
  2. Step 2: Convert to fraction form
    1,160.73/1,601.80 = 682.09/x
  3. Step 3: Cross multiply
    1,160.73x = 1,601.80 × 682.09
  4. Step 4: Simplify right side
    1,160.73x = 1,092,566.05
  5. Step 5: Solve for x
    x = 1,092,566.05/1,160.73
  6. Step 6: Final answer
    x = 941.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.